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Finding the Third Proportional to 33,025 and 69,313

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Solution

The third proportional to 33,025 and 69,313 is: 145,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,025 : 69,313 = 69,313 : x
  2. Step 2: Convert to fraction form
    33,025/69,313 = 69,313/x
  3. Step 3: Cross multiply
    33,025x = 69,313 × 69,313
  4. Step 4: Simplify right side
    33,025x = 4,804,291,969
  5. Step 5: Solve for x
    x = 4,804,291,969/33,025
  6. Step 6: Final answer
    x = 145,474.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.